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Ronch [10]
2 years ago
10

A mysterious flying superhero known as Blue Sky protects the good citizens of Allenville. Unknown to these citizens, Blue Sky is

actually mild-mannered Abdul, a scientist in a flying suit. Before Abdul can fly in the suit, he needs to charge its battery. There is a proportional relationship between the number of hours Abdul has charged his flying suit, x, and the number of hours he can fly, y.
If Abdul charged the suit for 1 hour, he can fly for 2 hours
Mathematics
1 answer:
RUDIKE [14]2 years ago
8 0

Here we want to find the proportional relationship between the number of hours that Abdul charges the suit and the number of hours that he can fly.

We will get the proportional relationship:

y = 2*x

where y is the number of hours that Abdul can fly and x is the number of hours that he charges the suit.

<h3>Proportional relationships:</h3>

A proportional relationship is a linear relationship of the form:

y = k*x

Where k is the constant of proportionality.

We can define:

  • x = number of hours that he charges the suit,
  • y = number of hours that he can fly.

Now we know that if Abdul charges the suit for 1 hour, he can fly for 2 hours, then we have the pair:

  • x = 1
  • y = 2

Replacing that in the proportional relationship we get:

2 = k*1

Now we can solve this for k:

2 = k*1

2/1 = k = 2

From this, we can conclude that the proportional relationship is:

y = 2*x

If you want to learn more about proportional relationships, you can read:

brainly.com/question/12242745

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The cost of renting a car for a day is $0.70 per mile plus a $20 flat fee
Andreyy89

Answer:

a) y = .70x + 20

-To find this, use the rate as x since it will change based on the number of miles. Since 20 is a flat fee, it can be added at the end as a constant.

b) This graph forms a straight line.

-This is because the answer in a is a linear equation.

c) The slope is .70 and the y-intercept is 20.

-For this one, the y-intercept is always the constant at the end of the equation and the slope is the coefficient of x.



5 0
3 years ago
A triangle has sides measuring 5 inches and 8 inches. If x represents the
lord [1]

Answer:

For me,the answer will be A.

im not sure

correct me if im wrong

love ya

6 0
3 years ago
Read 2 more answers
How do you do 27 divided by 624 in partial quotients
Virty [35]

Answer:

Step-by-step explanation:

For this case we have the following numbers:

624

27

When dividing both numbers, we observe that:

The partial quotient of the division is equal to 23

The rest of the division is equal to 3.

Note: See attached image to see the procedure of the division between both numbers.

Answer:

the partial quotient of 624 divided by 27 is:

23

6 0
3 years ago
Read 2 more answers
Use calculus to find the largest possible area for a rectangular field that can be enclosed with a fence that is 500 meters long
rewona [7]
Let x and y be the sides of the rectangle. The perimeter is given to be 500m, so we are maximizing the area function A(x,y)=xy subject to the constraint 2x+2y=500.

From the constraint, we find

2x+2y=500\implies x+y=250\implies y=250-x

so we can write the area function independently of y:

A(x,y)=\hat A(x)=x(250-x)=250x-x^2

Differentiating and setting equal to zero, we find one critical point:

\dfrac{\mathrm d\hat A(x)}{\mathrm dx}=250-2x=0\implies x=125

which means y=250-125=125, so in fact the largest area is achieved with a square fence that surrounds an area of A(125,125)=125^2=15625\text{ m}^2.
7 0
3 years ago
William is 3 years, older than Charmine. The sum of 3 times Charmaine's age and 2 times William's age is 76. How old are William
lana66690 [7]

William is 17 years old and Charmaine is 14 years old.

Step-by-step explanation:

Let x be the age of William and y be the age of Charmaine

Then

William is 3 years, older than Charmine.

x = y+3    Eqn 1

The sum of 3 times Charmaine's age and 2 times William's age is 76.

2x+3y = 76     Eqn 2

Putting x = y+3 in Eqn 2

2(y+3)+3y=76\\2y+6+3y=76\\5y+6=76\\Subtracting\ 6\ from\ both\ sides\\5y+6-6=76-6\\5y=70\\Dividing\ both\ sides\ by\ 5\\\frac{5y}{5} = \frac{70}{5}\\y=14\\Putting\ the\ value\ of\ y\ in\ Eqn\ 1\\x=y+3\\x=14+3\\x=17

Hence,

William is 17 years old and Charmaine is 14 years old.

Keywords: Linear equations, Variables

Learn more about linear equations at:

  • brainly.com/question/899976
  • brainly.com/question/884169

#LearnwithBrainly

5 0
3 years ago
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